Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192cb |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
441904228466688 = 220 · 312 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1735059,879668818] |
[a1,a2,a3,a4,a6] |
Generators |
[3922:96957:8] |
Generators of the group modulo torsion |
j |
193454563071992977/147992832 |
j-invariant |
L |
8.4528790801382 |
L(r)(E,1)/r! |
Ω |
0.43946799701011 |
Real period |
R |
4.8085862561363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274l1 38064bg1 |
Quadratic twists by: -4 -3 |